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Anika [276]
3 years ago
9

What is the approximate volume of the sphere​

Mathematics
1 answer:
NISA [10]3 years ago
8 0

Answer:

523.33 mm³

Step-by-step explanation:

The general formula for the volume of a sphere is:

V = \frac{4}{3}\pi r^{3}

The radius for the given sphere is 5mm, so plugging that value into the equation and using 3.14 for π:

V = \frac{4}{3}(3.14)(5^{3})

V ≈ 523.33 mm³

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The sides of a right triangle are x, x+21, and x+27. what is the length of the hypotenuse
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The three numbers are x , x + 21 and x + 27. 
The greatest of the 3 numbers is x + 27, so x + 27 has to be the hypotenuse.

----------------------------------------------
Pythagoras Theorem
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a² + b²  = c²

x² + (x+21)² = (x+27)²

x² + x² + 42x + 441 = x² + 54x + 729

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x = 24 or x = -12 (rejected, length cannot be negative)

----------------------------------------------
Find hypotenuse
----------------------------------------------
 Hypotenuse = x + 27 = 24 + 27 = 51 units

-----------------------------------------------
Answer: 51 units
----------------------------------------------

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